Math 9: Chord Properties (Part 3 of 3)

Note that line segment AB is perpendicular to chord DE.
Move Point B along DE until AB passes through the centre of the circle.
What do you notice about DB and BE?

The Rule: The perpendicular bisector of a chord passes through the centre of the circle.
The Big Picture:
- perpendicular
- bisector of chord
- through centre of circle
if two of these are true then all three are true.